Let's divide 637644 by 30
We're looking to find how many times 30 goes into 637644.

On to step 1:
If we divide 6 by 30, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 30

Going ahead to step 2:
63 divided by 30 is 2 with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 3 after subtracting 60 from 63.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 30

On to step 3:
If we divide 37 by 30, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 21.0
If we subtract 30 from 37, we get 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 30

Moving on to step 4:
30 can be fit into 76 2 times, resulting in a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 212.0
Subtracting 60 from 76 leaves us with 16.
Include the next digit (4) from the dividend after 16, then repeat: 164 / 30

On to step 5:
When dividing 164 by 30, we get 5 with a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 2125.0
Subtract 150 from 164 to get 14.
Bring next digit (4) of the dividend behind the 14 and repeat the process: 144 / 30

Moving on to step 6:
144 divided by 30 is 4 with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 21254.0
Deduct 120 from 144 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 7:
The number 30 fits into 240 8 times, leaving a remainder of 0.
The next digit of our result is 8. 
Result so far: 21254.8
If we take 240 away from 240, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
If we divide 0 by 30, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 21254.8
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
0 divided by 30 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 21254.8
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 21254.8, and the remainder is 0.0.